GATE AE 2007 • Q56 MCQ • 2 Marks Propulsion

Propulsion

Compressors and Turbines

Subtopic: Centrifugal Compressors

Question Statement:

The system shows the following type of coordinate coupling

Options:

  • (A) static coupling
  • (B) dynamic coupling
  • (C) static and dynamic coupling
  • (D) no coupling

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.56)** **1. Problem Statement & Parameters**: - **Module**: Propulsion (2 Mark, MCQ) - **Topic**: Compressors and Turbines (Centrifugal Compressors) - **Organizing Institute**: IIT Kanpur - **Problem Statement**: > The system shows the following type of coordinate coupling **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Compressors and Turbines** (Centrifugal Compressors) under *Propulsion*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **B**. **3. Comprehensive Options Analysis**: - **(A)** *"static coupling"*: ❌ **INCORRECT**. - **(B)** *"dynamic coupling"*: ✅ **CORRECT**. - **(C)** *"static and dynamic coupling"*: ❌ **INCORRECT**. - **(D)** *"no coupling"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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